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Paper Abstract and Keywords
Presentation 2017-03-09 14:25
Trellis Reduction for Tail-Biting Convolutional Codes Using Characteristic Matrices and Cyclically Shifted Code-Subsequences
Masato Tajima IT2016-108 ISEC2016-98 WBS2016-84
Abstract (in Japanese) (See Japanese page) 
(in English) Trellis reduction for tail-biting convolutional codes is investigated. A given tail-biting (TB) convolutional code is regarded as an (n, k) linear block code C. Then a characteristic matrix for C can be computed. Here consider the case where some k characteristic generators, which consist of the main generators and their cyclic shifts, can generate the same code C. We see that these characteristic generators form a (scalar) generator matrix associated with a (polynomial) generator matrix of another convolutional code. In this case, if the constraint length of the obtained generator matrix is smaller than that of the original one, then trellis reduction is accomplished. Even if this kind of reduction is not possible, there are cases where a newly obtained generator matrix contains a monomial factor in some column. Then there is a possibility that the generator matrix is reduced by sweeping the monomial factor out of the column. Note that this operation corresponds to cyclically shifting the corresponding code-subsequence to the left. In this way, the modified TB paths are represented using a reduced trellis with less state complexity.
Keyword (in Japanese) (See Japanese page) 
(in English) tail-biting convolutional codes / tail-biting trellis / characteristic matrix / cyclically shifted code-subsequence / trellis reduction / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 504, IT2016-108, pp. 61-66, March 2017.
Paper # IT2016-108 
Date of Issue 2017-03-02 (IT, ISEC, WBS) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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Conference Information
Committee ISEC WBS IT  
Conference Date 2017-03-09 - 2017-03-10 
Place (in Japanese) (See Japanese page) 
Place (in English) TOKAI University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) joint meeting of IT, ISEC, and WBS 
Paper Information
Registration To IT 
Conference Code 2017-03-ISEC-WBS-IT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Trellis Reduction for Tail-Biting Convolutional Codes Using Characteristic Matrices and Cyclically Shifted Code-Subsequences 
Sub Title (in English)  
Keyword(1) tail-biting convolutional codes  
Keyword(2) tail-biting trellis  
Keyword(3) characteristic matrix  
Keyword(4) cyclically shifted code-subsequence  
Keyword(5) trellis reduction  
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1st Author's Name Masato Tajima  
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Speaker Author-1 
Date Time 2017-03-09 14:25:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2016-108, ISEC2016-98, WBS2016-84 
Volume (vol) vol.116 
Number (no) no.504(IT), no.505(ISEC), no.506(WBS) 
Page pp.61-66 
#Pages
Date of Issue 2017-03-02 (IT, ISEC, WBS) 


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